A solid cube of side 18 cm is cut into 8 cubes of equal volume what will be the side of the new cube ? Also find the ratio between thier surface area

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle